Hexadecimal Arithmetic Calculator Formula

Understand the math behind the hexadecimal arithmetic calculator. Each variable explained with a worked example.

Use the Hexadecimal Arithmetic Calculator

Formulas Used

Sum Val

sum_val = a + b

Diff Val

diff_val = a - b

Prod Val

prod_val = a * b

Div Val

div_val = b != 0 ? a / b : 0

Mod Val

mod_val = b != 0 ? mod(a, b) : 0

Variables

VariableDescriptionDefault
aNumber A (decimal)255
bNumber B (decimal)16

How It Works

Hexadecimal Arithmetic

Hex Addition/Subtraction

Hex arithmetic works like decimal but in base-16. This calculator accepts decimal inputs (enter the decimal equivalent of your hex number) and displays results in decimal.

Conversions

  • Hex FF = Decimal 255
  • Hex 10 = Decimal 16
  • Hex A = Decimal 10

    • To convert between hex and decimal, use the Hex to Decimal converter.

    Worked Example

    Operations on 255 (FF in hex) and 16 (10 in hex).

    a = 255b = 16
    1. 01255 + 16 = 271 (hex: FF + 10 = 10F)
    2. 02255 - 16 = 239 (hex: FF - 10 = EF)
    3. 03255 × 16 = 4080 (hex: FF × 10 = FF0)
    4. 04255 / 16 = 15.9375
    5. 05255 mod 16 = 15 (hex: F)

    Frequently Asked Questions

    How do I perform hex arithmetic?

    Enter the decimal equivalents of your hex numbers. The calculator performs the arithmetic and displays results in decimal, which you can convert back to hex.

    What is hexadecimal used for?

    Hex is used for color codes (#FF0000 for red), memory addresses, MAC addresses, and representing binary data compactly.

    How do I convert hex to decimal?

    Multiply each hex digit by its position value (16⁰, 16¹, 16², ...) and sum them. Use our Hex to Decimal converter for easy conversion.

    Ready to run the numbers?

    Open Hexadecimal Arithmetic Calculator